The ticket machine at the service counter was not operating correctly and began to skip every third ticket, beginning with ticket 430. how many tickets were skipped between ticket 431 and ticket 444?
The formula to use is
(444-430)/3+1 and keep only whole numbers.
To find out how many tickets were skipped between ticket 431 and ticket 444, we need to determine the number of valid tickets issued by the machine during that interval.
Since the machine began skipping every third ticket starting from ticket 430, we can conclude that ticket 431 is the first valid ticket.
To calculate the number of valid tickets, we can subtract the starting ticket (431) from the ending ticket (444) and add 1 (to include the starting ticket):
444 - 431 + 1 = 14
Therefore, there were 14 valid tickets issued between ticket 431 and ticket 444. However, we are interested in the number of skipped tickets, which would be every third ticket within this range.
To find the number of skipped tickets, we need to subtract the number of valid tickets from the total number of tickets in the range.
To calculate the total number of tickets, subtract the starting ticket (430) from the ending ticket (444), then add 1 (to include both tickets):
444 - 430 + 1 = 15
So, there were 15 tickets in total between ticket 431 and ticket 444.
To find the number of skipped tickets, subtract the number of valid tickets (14) from the total number of tickets (15):
15 - 14 = 1
Therefore, one ticket was skipped between ticket 431 and ticket 444.